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Finding the Third Proportional to 12.38 and 13.69

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Solution

The third proportional to 12.38 and 13.69 is: 15.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.38 : 13.69 = 13.69 : x
  2. Step 2: Convert to fraction form
    12.38/13.69 = 13.69/x
  3. Step 3: Cross multiply
    12.38x = 13.69 × 13.69
  4. Step 4: Simplify right side
    12.38x = 187.35
  5. Step 5: Solve for x
    x = 187.35/12.38
  6. Step 6: Final answer
    x = 15.14

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.